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Simplifying 2(-3b + 12) + -6(2b + -4) + -3(b + 2) = 0 Reorder the terms: 2(12 + -3b) + -6(2b + -4) + -3(b + 2) = 0 (12 * 2 + -3b * 2) + -6(2b + -4) + -3(b + 2) = 0 (24 + -6b) + -6(2b + -4) + -3(b + 2) = 0 Reorder the terms: 24 + -6b + -6(-4 + 2b) + -3(b + 2) = 0 24 + -6b + (-4 * -6 + 2b * -6) + -3(b + 2) = 0 24 + -6b + (24 + -12b) + -3(b + 2) = 0 Reorder the terms: 24 + -6b + 24 + -12b + -3(2 + b) = 0 24 + -6b + 24 + -12b + (2 * -3 + b * -3) = 0 24 + -6b + 24 + -12b + (-6 + -3b) = 0 Reorder the terms: 24 + 24 + -6 + -6b + -12b + -3b = 0 Combine like terms: 24 + 24 = 48 48 + -6 + -6b + -12b + -3b = 0 Combine like terms: 48 + -6 = 42 42 + -6b + -12b + -3b = 0 Combine like terms: -6b + -12b = -18b 42 + -18b + -3b = 0 Combine like terms: -18b + -3b = -21b 42 + -21b = 0 Solving 42 + -21b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -21b = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21b = 0 + -42 -21b = 0 + -42 Combine like terms: 0 + -42 = -42 -21b = -42 Divide each side by '-21'. b = 2 Simplifying b = 2
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